Search a number
-
+
46240 = 255172
BaseRepresentation
bin1011010010100000
32100102121
423102200
52434430
6554024
7251545
oct132240
970377
1046240
1131817
1222914
131807c
1412bcc
15da7a
hexb4a0

46240 has 36 divisors (see below), whose sum is σ = 116046. Its totient is φ = 17408.

The previous prime is 46237. The next prime is 46261. The reversal of 46240 is 4264.

It can be written as a sum of positive squares in 3 ways, for example, as 44944 + 1296 = 212^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2712 + ... + 2728.

246240 is an apocalyptic number.

46240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58023).

46240 is an abundant number, since it is smaller than the sum of its proper divisors (69806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46240 is a wasteful number, since it uses less digits than its factorization.

46240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 46240 is about 215.0348808914. The cubic root of 46240 is about 35.8926845273.

The spelling of 46240 in words is "forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 46240